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marissa [1.9K]
3 years ago
5

Prove that tan60+tan70-tan50+tan10=2sqrt3?

Mathematics
1 answer:
LiRa [457]3 years ago
8 0
{tan(60) + tan(10)}/{1 - tan(60)*tan(10)} - {tan(60) - tan(10)}/{1 + tan(10)*tan(60)} 

<span>ii) Taking LCM & simplifying with applying tan(60) = √3, the above simplifies to: </span>

<span>= 8*tan(10)/{1 - 3*tan²(10)} </span>

<span>iii) So tan(70) - tan(50) + tan(10) = 8*tan(10)/{1 - 3*tan²(10)} + tan(10) </span>

<span>= [8*tan(10) + tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)} </span>

<span>= [9*tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)} </span>

<span>= 3 [3*tan(10) - tan³(10)]/{1 - 3*tan²(10)} </span>

<span>= 3*tan(30) = 3*(1/√3) = √3 [Proved] </span>

<span>[Since tan(3A) = {3*tan(A) - tan³(A)}/{1 - 3*tan²(A)}, </span>
<span>{3*tan(10) - tan³(10)}/{1 - 3*tan²(10)} = tan(3*10) = tan(30)]</span>
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Answer:

Step-by-step explanation:

-2x - 6 = 2 - 4x - x + 1

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The batting average of a baseball player is classified as a numeric continuous variable.

<h3>What are categorical and numerical variables?</h3>

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A batting average is given by the <u>number of hits divided by the number of at bats</u>, hence it is a numeric value.

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The batting average is a real number, hence it is also a continuous variable.

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So first six sided polygon is called hexagon.
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in art class 5 students are able to share 20 crayons. How many crayons are needed if there are 30 students in the class?
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